87890231597760 has 448 divisors, whose sum is σ = 326502315955200. Its totient is φ = 22195255025664.

The previous prime is 87890231597759. The next prime is 87890231597767. The reversal of 87890231597760 is 6779513209878.

87890231597760 is a `hidden beast` number, since 8 + 7 + 8 + 9 + 0 + 23 + 1 + 597 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (87890231597767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 429504429 + ... + 429709011.

It is an arithmetic number, because the mean of its divisors is an integer number (728799812400).

Almost surely, 2^{87890231597760} is an apocalyptic number.

87890231597760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87890231597760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163251157977600).

87890231597760 is an abundant number, since it is smaller than the sum of its proper divisors (238612084357440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87890231597760 is a wasteful number, since it uses less digits than its factorization.

87890231597760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207245 (or 207229 counting only the distinct ones).

The product of its (nonzero) digits is 320060160, while the sum is 72.

The spelling of 87890231597760 in words is "eighty-seven trillion, eight hundred ninety billion, two hundred thirty-one million, five hundred ninety-seven thousand, seven hundred sixty".